Introduction to event space probability:
The event space determines the output in the probability that refers the total number of possibilities for the experiment. The sample spaces of the each experiment are not same. For example, the sample space for tossing the coin and the sample space for rolling the die and the sample space for the getting the diamond card from the group of cards are different. The sample spaces of the each experiment determine the probability for that event.I like to share this Simple Events with you all through my article.
Terms Used in the Event Space Probability:
Trial is the process of performing any experiment is called as the trial.
Sample space represents a set of all necessary outcomes of the experiment.
Event is a subset of a sample space whose elements are the outcomes of a trial.
Equally likely events are the events that none of the events can be performed as like as the other event.
Mutually exclusive events are the events that two events cannot occur simultaneously.
Exhaustive event contains the set of all possible outcomes for the experiment.
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Example Problems for Event Space Probability:
Example 1 for event space probability:
A bag contains the 12 red balls, 3 green balls and 7 black balls. What is the sample space for getting the balls?
Solution:
The bag contains the 12 red balls, 3 green balls and 7 black balls. The total numbers of balls are 22 balls.
The sample space is 22.
Example 2 for event space probability:
Determine the sample space for rolling the single die.
Solution:
The die contains six faces.
The sample space for the die is 6.
It can be represented in the form of S= {1, 2, 3, 4, 5, 6}.
Example 3 for event space probability:
Find the sample space for tossing two coins.
Solution:
A single coin has two sides. For the single coin the sample space is 2.
For two coins the sample space is 4.
The event space determines the output in the probability that refers the total number of possibilities for the experiment. The sample spaces of the each experiment are not same. For example, the sample space for tossing the coin and the sample space for rolling the die and the sample space for the getting the diamond card from the group of cards are different. The sample spaces of the each experiment determine the probability for that event.I like to share this Simple Events with you all through my article.
Terms Used in the Event Space Probability:
Trial is the process of performing any experiment is called as the trial.
Sample space represents a set of all necessary outcomes of the experiment.
Event is a subset of a sample space whose elements are the outcomes of a trial.
Equally likely events are the events that none of the events can be performed as like as the other event.
Mutually exclusive events are the events that two events cannot occur simultaneously.
Exhaustive event contains the set of all possible outcomes for the experiment.
I have recently faced lot of problem while learning Independent Events, But thank to online resources of math which helped me to learn myself easily on net.
Example Problems for Event Space Probability:
Example 1 for event space probability:
A bag contains the 12 red balls, 3 green balls and 7 black balls. What is the sample space for getting the balls?
Solution:
The bag contains the 12 red balls, 3 green balls and 7 black balls. The total numbers of balls are 22 balls.
The sample space is 22.
Example 2 for event space probability:
Determine the sample space for rolling the single die.
Solution:
The die contains six faces.
The sample space for the die is 6.
It can be represented in the form of S= {1, 2, 3, 4, 5, 6}.
Example 3 for event space probability:
Find the sample space for tossing two coins.
Solution:
A single coin has two sides. For the single coin the sample space is 2.
For two coins the sample space is 4.
